24 citations · 41 across the 28 of their papers we have counts for
5 papers · 1 filter
On Limits of Sequences of Holomorphic Functions
Steven G. Krantz
We study functions which are the pointwise limit of a sequence of holomorphic functions. In one complex variable this is a classical topic, though we offer some new points of view…
Topological/Geometric Properties of the Orbit Accumulation Set
Steven G. Krantz
We study the set of boundary orbit accumulation points of the automorphism group action on a bounded domain in $\CC^n$. Topological and geometric properties of this set are derived…
The Automorphism Group of a Domain with an Exponentially Flat Boundary Point
Steven G. Krantz
We study the automorphisms group action on a bounded domain in $\CC^n$ having a boundary point that is exponentially flat. Such a domain typically has a compact automorphism group.…
Geometric Properties of Boundary Orbit Accumulation Points
Steven G. Krantz
We study the automorphism group action on a bounded domain in $\CC^n$. In particular, we consider boundary orbit accumulation points, and what geometric properties they must have.…
Some New Thoughts on Maximal Functions and Poisson Integrals
Steven G. Krantz
We study Wiener-type covering lemmas, Hardy-Littlewood-type maximal functions, and convergence theorems on metric spacs. Later we specialize down to a result for the Poisson integr…